
where \(B_0\)  is vertex of the parabola, and \(\sigma _{xz}^{(2)}\)  is the quadratic coefficient.
The planar Hall conductivity depends on the angle of the applied magnetic field (\(\sim \sin 2\gamma \) ), where \(\gamma \)  is the angle of the magnetic field with respect to the \(x\) -axis [1]}. To study the effect of strain, we first evaluate the planar Hall conductivity in the absence of any external magnetic field. In Fig. REF  we plot the planar Hall conductivity \(\sigma _{xz}(B_5)\)  that is evaluated in the absence of external magnetic field. The angular behavior with respect to \(\gamma _5\)  is \(\sim \sin 2\gamma _5\)  as the case with the usual planar Hall conductivity. Here, we also explicitly examine the effect of intervalley scattering \(\alpha \) . Even though the conductivity is expected to decrease with increasing scattering, the functional form has still never been explicitly evaluated, especially when the scattering is momentum dependent. We numerically find that the planar Hall conductivity induced by the chiral gauge field behaves as \(\sim 1/\alpha \) .
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